In: Statistics and Probability
There are 10 CS students, 12 CPRE students and 8 SE students, to form a committee.
(a) How many different committees of size 3 can you pick if you need one representative from each program?
(b) How many different committees of size 2 can you pick if you cannot pick both representatives from the same program?
(c) In how many ways can you pick a president, a secretary, and a treasurer from the group of students if they cannot all be CS students?